2019-04-11 01:37:26 -0500 | commented answer | Cannot solve differential equation (Lane-Emden equation) numerically Thank you very muchfor you nice answer, Mr. Buring. For the first plot, is there a simple way to find t where y0=0? |

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2019-03-07 05:06:38 -0500 | asked a question | Cannot solve differential equation (Lane-Emden equation) numerically Hi, my friends, I tried to solve Lane-Emden equation, as model of white dwarf, $$ \frac{d^2x}{dt^2} +\frac2 t \frac{dx}{dt} + x^n = 0, ~~~~ where ~~~~n=\frac 3 2 $$ and I have some troubles in sagemath. I am using following code: Above code is very similar of the example in sagemath reference: Van der Pol equation Both equations (Lane-Emden and Van der Pol) are non-linear differential equation, therefore, are not easy to solve. I don't know where comes to problem in above codes, can someone give me a help? John |

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